Search a number
-
+
51504336 = 2435131019
BaseRepresentation
bin1100010001111…
…0010011010000
310120220200200000
43010132103100
5101141114321
65035530000
71163531262
oct304362320
9116820600
1051504336
1127088a74
12152b9900
13a894050
146ba9b32
1547c5826
hex311e4d0

51504336 has 120 divisors (see below), whose sum is σ = 161135520. Its totient is φ = 15831936.

The previous prime is 51504329. The next prime is 51504359. The reversal of 51504336 is 63340515.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50035 + ... + 51053.

It is an arithmetic number, because the mean of its divisors is an integer number (1342796).

Almost surely, 251504336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51504336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80567760).

51504336 is an abundant number, since it is smaller than the sum of its proper divisors (109631184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51504336 is a wasteful number, since it uses less digits than its factorization.

51504336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 51504336 is about 7176.6521442801. The cubic root of 51504336 is about 372.0613842512.

The spelling of 51504336 in words is "fifty-one million, five hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1019 1053 1296 1404 1872 1944 2038 2106 2808 3057 3159 3888 4076 4212 5616 6114 6318 8152 8424 9171 12228 12636 13247 16304 16848 18342 24456 25272 26494 27513 36684 39741 48912 50544 52988 55026 73368 79482 82539 105976 110052 119223 146736 158964 165078 211952 220104 238446 247617 317928 330156 357669 440208 476892 495234 635856 660312 715338 953784 990468 1073007 1320624 1430676 1907568 1980936 2146014 2861352 3219021 3961872 4292028 5722704 6438042 8584056 12876084 17168112 25752168 51504336